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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §9.4 Complex Numbers, #18 · Complex Numbers · Polar form

Prove that the four fourth roots of … multiply to give

Prove that the four fourth roots of $r e^{i θ}$ multiply to give $- r e^{i θ}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §9.4 Complex Numbers, #18

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